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Exercises · Q1

Q.Bar diagram is a

(i) one-dimensional diagram
(ii) two-dimensional diagram
(iii) diagram with no dimension
(iv) none of the above
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✓ Free question

A bar diagram is a one-dimensional diagram — option (i). Only the height/length of each bar represents the magnitude of the value; the width is kept equal and carries no meaning, so a single dimension conveys the data.

Concept first: what "dimension" means in diagrams

When we classify a statistical diagram by dimension, we ask how many measurements of the figure are used to represent the value:

  • One-dimensional (bar) diagrams — only length/height is proportional to the value. Width is uniform and decorative.
  • Two-dimensional diagrams — area (length × breadth) represents the value, e.g. rectangles, squares, circles/pie.
  • Diagrams with no dimension / pictograms & cartograms — pictures or maps stand in for values.

Applying it to a bar diagram

In a bar diagram all bars are drawn with equal width and are equally spaced; the reader compares them by looking only at how tall each one is. Because the value is read off a single measurement — the height — the bar diagram is a one-dimensional diagram.

OptionVerdict
(i) one-dimensional✓ Correct
(ii) two-dimensional✗ that describes area diagrams (rectangles, pie)
(iii) no dimension✗ that describes pictograms/cartograms
(iv) none of the above✗
✓Final answer

(i) one-dimensional diagram — in a bar diagram only the height (length) of the bar is proportional to the value; the equal width has no statistical meaning.

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